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On global existence of strong and classical solutions of Navier-Stokes equations

Andrey Polyakov
Finite-time control and estimation for distributed systems
CV

Abstract

The paper presents a simple proof of global existence of strong and classical solutions of Navier-Stokes equations in R^3 accepting that their existence for small initial data is already proven for example, in [2] and [4].

Domains

Mathematics [math] Analysis of PDEs [math.AP]
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https://hal.inria.fr/hal-02096215

Submitted on : Friday, April 12, 2019-1:02:08 PM

Last modification on : Friday, March 24, 2023-2:53:10 PM

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Dates and versions

hal-02096215 , version 1 (11-04-2019)
hal-02096215 , version 2 (12-04-2019)
hal-02096215 , version 3 (23-04-2019)

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  • HAL Id : hal-02096215 , version 2

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Andrey Polyakov. On global existence of strong and classical solutions of Navier-Stokes equations. 2019. ⟨hal-02096215v2⟩

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